代数幾何とその応用（会議録） Algebraic Geometry and Its Applications: Dedicated to Gilles Lachaud on His 60th Birthday - Proceedings of the First Saga Conference (Series on Number Theory and Its Applications)

Rolland, Robert (EDT)/ Hirschfeld, James (EDT)/ Chaumine, Jean (EDT)

World Scientific Publishing Co Pte Ltd（2008/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 532 p.
• 言語 ENG
• 商品コード 9789812793423
• DDC分類 516.35

Full Description

This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.

Contents

On the Semiprimitivity of Cyclic Codes (Y Aubry & P Langevin); An Optimal Unramified Tower of Function Fields (K Brander); Galois Invariant Smoothness Basis (J-M Couveignes); Decoding of Scroll Codes (G Hitching & T Johnsen); Fuzzy Pairing-based CL-PKC (M Kiviharju); On Quadratic Extensions of Cyclic Projective Planes (H F Law & P Wong); On the Number of Boolean Resilient Functions (S Mesnager); Symmetric Cryptography and Algebraic Curves (F Voloch); Partitions of Vector Spaces over Finite Fields (Y Zelenyuk); and other papers.